117/14 to a mixed number
How to write 117/14 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [14]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/14 to a mixed number
In order to convert our improper fraction 117/14 to a mixed number, we need to follow three basic steps:
1. Find the whole number. First we need to calculate how many times the denominator [14] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 14 = 8.36 = 8
(Quotient of 8 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
You may also calculate a remainder by using the whole number we calculated in the first step [8] and multiplying it by the original denominator [14]. And then subtract the result from the original numerator [117]:
117 - (8 × 14)
=117 - 112 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [14], and then put the whole number [8] before it
That's it! We have successfully converted the improper fraction 117/14 to the mixed number 8 5/14.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/14 | 8 5/14 |
118/14 | 8 3/7 |
119/14 | 8 1/2 |
120/14 | 8 4/7 |
121/14 | 8 9/14 |
122/14 | 8 5/7 |
123/14 | 8 11/14 |
124/14 | 8 6/7 |
125/14 | 8 13/14 |
126/14 | 9 |
127/14 | 9 1/14 |
128/14 | 9 1/7 |
129/14 | 9 3/14 |
130/14 | 9 2/7 |
131/14 | 9 5/14 |
132/14 | 9 3/7 |
133/14 | 9 1/2 |
134/14 | 9 4/7 |
135/14 | 9 9/14 |
136/14 | 9 5/7 |
137/14 | 9 11/14 |
138/14 | 9 6/7 |
139/14 | 9 13/14 |
140/14 | 10 |
141/14 | 10 1/14 |
142/14 | 10 1/7 |
143/14 | 10 3/14 |
144/14 | 10 2/7 |
145/14 | 10 5/14 |
146/14 | 10 3/7 |